![5. [20 marks] Consider the following situation: Ho: 286 Ha: μ 286 n 100 and ơ--1 15 a) Given a 0.05, for what values of z will you reject the null hypothesis? b) using σ 115 and μ- 286, for what values of will you reject Ho? 271, what is the probability that x will fall in the region Using ơ-115 and defined in part (b)? c)](http://img.homeworklib.com/questions/91028170-b3d7-11ea-aafc-3f8c364b56e8.png?x-oss-process=image/resize,w_560)
Homework Answers
![(a) This is two tailed test as Ha is with sign, so rejection region would on both tails. α = 0.05, so at each tail we will have a/2-0.05/2-0.025 1- a 0.95 a/2 -0.0 a/2 0.025 Using NORM.S.INV(probability) we can get the values of z Area to the left of z is 0.025 0.95 0.975, hence Upper critical value (z) would be NORM.S.INV(0.975) gives 1.959963985 And lower critical value would be NORM.S.INV(0.025) gives -1.959963985 So, for values of z <-1.9600 and values of z > 1.9600, we will reject the null hypothesis. (b) If the test statistic value falls below z--1.96 or above z 1.96, we will reject null hypothesis, lets find out corresponding x for these z. test statistic is given by Hence, 115 f -286 +1.96 100 115 V100 6 * = 308.5395858 a-286-1.962 бъ 2634604142 So, for values of< 263.4604 and values ofx > 308.5396, we will reject Ho (c) Probability that the will fall in the region defined in part b) if H 271 would be 263.4604- 271 308.5396- 271 P( < 263.4604) + P(x > 308.5396)- P Z< 100 100 -P(Z<-0.655616158) + P(Z > 3.264311811) P(Z < -0.655616158) + [1-P(2 < 3.26431 1811)] Using NORM.S.DIST(z, cumulative) excel function we can get left tailed standard normal probabilities](http://img.homeworklib.com/questions/11aec5a0-bebd-11ea-a57f-170077b3112d.png?x-oss-process=image/resize,w_560)
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5. [20 marks] Consider the following situation: Ho: 286...
Consider the following random sample observations on stabilized viscosity of asphalt specimens. 2061 2099 1982 1842...
Consider the following random sample observations on stabilized viscosity of asphalt specimens. 2061 2099 1982 1842 2052 Suppose that for a particular application, it is required that true average viscosity be 2000. Is there evidence this requirement is not satisfied? From previous findings we know that the population standard deviation, σ State the appropriate hypotheses. (Use α-0.05.) 90.8 Ho: μ < 2000 Hai μ 2000 Ho: μ 2000 Ha: μ 2000 Ho: μ 2000 Hai μ-2000 Ho: μ > 2000...
You will perform a significance test of Ho : μ=25 based on an SRS of n=36....
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Consider a paint-drying situation in which drying time for a test specimen is normally distributed with...
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Please label and show each step 2. Consider the following hypothesis test: Ho: μ ≤ 50 H1: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use α=0.05. a. Z critical = _______________ b. Sample mean = 53.5, z calc = ______________. Do you reject Ho? c. Sample mean = 51.8, z calc = ______________. Do you reject Ho? d. The Pvalue for c is:_________________
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Please help me get the right values, I cannot figure it out. Please show your work. A statistical program is recommended The following observations are on stopping distance (ft) of a particular truc...
Please help me get the right values, I cannot figure it out.
Please show your work.
A statistical program is recommended The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions 32.1 30.8 31.7 30.4 31.0 31.9 The report states that under these conditions, the maximum alowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributecd. (a) Does the data suggest that true...
Do Not Solve. please delete A blind taste test is conducted to determine which of two...
Do
Not Solve. please delete
A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 44 of 100 individuals profor Brand A Complete parts a through c. (a) Conduct a hypothesis test (proferably using technology) Ho:...
Consider the following random sample observations on stabilized viscosity of asphalt specimens. 2061 2099 1982 1842 2052 Suppose that for a particular application, it is required that true average viscosity be 2000. Is there evidence this requirement is not satisfied? From previous findings we know that the population standard deviation, σ State the appropriate hypotheses. (Use α-0.05.) 90.8 Ho: μ < 2000 Hai μ 2000 Ho: μ 2000 Ha: μ 2000 Ho: μ 2000 Hai μ-2000 Ho: μ > 2000...
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please solve both questions 4&5 and solve all parts.
4) Your company manufactures 200 mg ibuprofen tablets. You randomly sample 25 tablets and measure their mass, then calculate the average mass X from this sample. You know that the standard deviation of tablet mass from your manufacturing process is ơ- 0 mg a. Specify a null and alternative process to determine whether or the mass of ibuprofen tablets from your process is 200 mg b. You reject the null hypothesis...
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Please help me get the right values, I cannot figure it out.
Please show your work.
A statistical program is recommended The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions 32.1 30.8 31.7 30.4 31.0 31.9 The report states that under these conditions, the maximum alowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributecd. (a) Does the data suggest that true...
Do
Not Solve. please delete
A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 44 of 100 individuals profor Brand A Complete parts a through c. (a) Conduct a hypothesis test (proferably using technology) Ho:...
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